Create an original design using only the figures given (the pages at the end of this portfolio contain shapes that can be printed). The side lengths of all of the shapes are the same so that you can line up their edges to create a tiling. Your design can use any combination of shapes, but you must use at least one of each shape in your design. The design you create can be as simple or as complex as you want. It can have a repeating pattern or it can be random, but it must fit on a single sheet of paper. Your design can make a recognizable shape or it can be abstract. Use your imagination! Record your answers below. Question 1 Describe your design in words. What shapes did you use? Does it have a repeating pattern? Is it abstract or does it resemble something recognizable
11 answers
Area = 0.5 * (a + b) * h
where a and b are the lengths of the two parallel sides of the trapezoid, and h is the height (perpendicular distance between the two parallel sides).
Area = 0.5 * base * height
where the base is the length of the triangle's base and the height is the perpendicular distance from the base to the opposite vertex.
Area = 0.5 * base * height
where the base and height are the same as in a general triangle; however, in the case of a right triangle, the height will be one of the legs of the triangle.
Let's say we have a right triangle with one leg measuring 6 units and the other leg measuring 8 units.
To find the area of this right triangle, we can use the formula:
Area = 0.5 * base * height
In this case, since the base and height are the legs of the right triangle, we have:
base = 6 units
height = 8 units
Plugging these values into the formula, we get:
Area = 0.5 * 6 * 8
Area = 24 square units
Therefore, the area of the right triangle with legs measuring 6 units and 8 units is 24 square units.